Soliton solutions of Klein–Fock–Gordon equation using Sardar subequation method

HU Rehman, I Iqbal, S Subhi Aiadi, N Mlaiki… - Mathematics, 2022 - mdpi.com
The Klein–Fock–Gordon equation (KFGE), defined as the equation of relativistic wave
related to NLEEs, has numerous implications for energy particle physics and is useful as a …

Comparative study of homotopy perturbation transformation with homotopy perturbation Elzaki transform method for solving nonlinear fractional PDE

P Singh, D Sharma - Nonlinear Engineering, 2019 - degruyter.com
We apply homotopy perturbation transformation method (combination of homotopy
perturbation method and Laplace transformation) and homotopy perturbation Elzaki …

Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions

E Simbawa, AR Seadawy, TG Sugati - Chaos, Solitons & Fractals, 2021 - Elsevier
Abstract The Sasa-Satsuma equation on a continuous background describes a nonlinear
fiber system with higher-order effects including the third-order dispersion and Kerr …

[HTML][HTML] The Klein–Fock–Gordon and Tzitzeica dynamical equations with advanced analytical wave solutions

AR Seadawy, A Ali, H Zahed, D Baleanu - Results in Physics, 2020 - Elsevier
In this manuscript, two mathematical approaches have been functionalized to discover novel
wave results of 3rd-order Klein–Gordon and Tzitzeica equations. With the alliance of …

The Generalization of Integral Transforms Combined with He's Polynomial

JI Mustafa - European Journal of Pure and Applied Mathematics, 2023 - ejpam.com
Our goal in this paper is to generalize the integral transforms and use it with He's polynomial
method to find the solution of the nonlinear partial differential equations. All results of …

Accelerated HPSTM: An efficient semi-analytical technique for the solution of nonlinear PDE's

D Grover, D Sharma, P Singh - Nonlinear Engineering, 2020 - degruyter.com
In this paper a novel technique ie accelerated homotopy perturbation Sumudu
transformation method (AHPSTM), which is a hybrid of accelerated homotopy perturbation …

[PDF][PDF] Numerical simulation of time-fractional Black–Scholes equation using fractional variational iteration method

S Gupta - J. Comput. Math. Sci, 2019 - researchgate.net
This paper deals with the numerical solution of time-fractional Black-Scholes equation,
which is solved by fractional variational iteration method (FVIM). One of the important …

On the problem of convergence of series solution of non-linear fractional partial differential equation

P Singh, D Sharma - AIP conference proceedings, 2017 - pubs.aip.org
Series solution is obtained on solving non-linear fractional partial differential equation using
homotopy perturbation transformation method. First of all, we apply homotopy perturbation …

Approximate solution for fractional attractor one-dimensional Keller-Segel equations using homotopy perturbation Sumudu transform method

D Sharma, GS Samra, P Singh - Nonlinear Engineering, 2020 - degruyter.com
In this paper, homotopy perturbation sumudu transform method (HPSTM) is proposed to
solve fractional attractor one-dimensional Keller-Segel equations. The HPSTM is a …

[PDF][PDF] Numerical comparison of FNVIM and FNHPM for solving a certain type of nonlinear Caputo time-fractional partial differential equations

A Khalouta, A Kadem - Annales Mathematicae Silesianae, 2020 - intapi.sciendo.com
This work presents a numerical comparison between two efficient methods namely the
fractional natural variational iteration method (FNVIM) and the fractional natural homotopy …